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Finding the Fourth Proportional to 524,650.50, 786,982.77 and 164,809.62

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Solution

The fourth proportional to 524,650.50, 786,982.77 and 164,809.62 is: 247,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,650.50 : 786,982.77 = 164,809.62 : x
  2. Step 2: Convert to fraction form
    524,650.50/786,982.77 = 164,809.62/x
  3. Step 3: Cross multiply
    524,650.50x = 786,982.77 × 164,809.62
  4. Step 4: Simplify right side
    524,650.50x = 129,702,331,270.25
  5. Step 5: Solve for x
    x = 129,702,331,270.25/524,650.50
  6. Step 6: Final answer
    x = 247,216.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.